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Simplifying -4(2x + 3) = 5(x + -3) Reorder the terms: -4(3 + 2x) = 5(x + -3) (3 * -4 + 2x * -4) = 5(x + -3) (-12 + -8x) = 5(x + -3) Reorder the terms: -12 + -8x = 5(-3 + x) -12 + -8x = (-3 * 5 + x * 5) -12 + -8x = (-15 + 5x) Solving -12 + -8x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -8x + -5x = -15 + 5x + -5x Combine like terms: -8x + -5x = -13x -12 + -13x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -13x = -15 + 0 -12 + -13x = -15 Add '12' to each side of the equation. -12 + 12 + -13x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -13x = -15 + 12 -13x = -15 + 12 Combine like terms: -15 + 12 = -3 -13x = -3 Divide each side by '-13'. x = 0.2307692308 Simplifying x = 0.2307692308
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